Some Fixed Point Results for TAC-Type Contractive Mappings

被引:15
作者
Chandok, Sumit [1 ]
Tas, Kenan [2 ]
Ansari, Arslan Hojat [3 ,4 ]
机构
[1] Thapar Univ, Sch Math, Patiala 147004, Punjab, India
[2] Cankaya Univ, Dept Math & Comp Sci, Ankara, Turkey
[3] Payame Noor Univ, Dept Math, POB 19395-3697, Tehran, Iran
[4] Islamic Azad Univ, Karaj Branch, Dept Math, Karaj, Iran
关键词
THEOREMS; ALPHA;
D O I
10.1155/2016/1907676
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We prove some fixed point results for new type of contractive mappings using the notion of cyclic admissible mappings in the framework of metric spaces. Our results extend, generalize, and improve some well-known results from literature. Some examples are given to support our main results.
引用
收藏
页数:6
相关论文
共 27 条
[1]   Some Fixed Point Results for (α, β)-(ψ, φ)-Contractive Mappings [J].
Alizadeh, Sattar ;
Moradlou, Fridoun ;
Salimi, Peyman .
FILOMAT, 2014, 28 (03) :635-647
[2]  
Ansari A. H., 2014, P 2 REG C MATH APPL, P377, DOI DOI 10.2298/FIL1403635A
[3]   Fixed point theorems on b-metric spaces for weak contractions with auxiliary functions [J].
Ansari, Arslan Hojat ;
Chandok, Sumit ;
Ionescu, Cristiana .
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2014,
[4]  
Babu GVR, 2011, THAI J MATH, V9, P1
[5]  
BANACH S., 1922, Fundam. Math., V3, P133, DOI DOI 10.4064/FM-3-1-133-181
[6]   Common fixed points of mappings satisfying implicit contractive conditions [J].
Berinde, Vasile ;
Vetro, Francesca .
FIXED POINT THEORY AND APPLICATIONS, 2012,
[7]   ON NONLINEAR CONTRACTIONS [J].
BOYD, DW ;
WONG, JSW .
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1969, 20 (02) :458-&
[8]   (ψ, α, β)-weak contractions in partially ordered metric spaces [J].
Choudhury, Binayak S. ;
Kundu, Amaresh .
APPLIED MATHEMATICS LETTERS, 2012, 25 (01) :6-10
[9]  
Derafshpour M, 2011, TOPOL METHOD NONL AN, V37, P193
[10]  
Fadail ZM., 2015, Appl. Math. Sci, V9, P4109